Looking For Pythagoras
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Looking For Pythagoras |
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Enrichment Activities
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Baseball Problem |
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Planet Hop |
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Square Root Matching |
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Objectives of this Unit
| Calculate the distance between two points in a plane | Find areas of figures drawn on a grid with whole-number vertices |
| Understand square roots as lengths and sides of squares | Understand the Pythagorean Theorem and how it relates to areas of squares on the sides of a right triangle |
| Use the Pythagorean Theorem to solve problems | Investigate rational numbers written as decimals |
| Understand irrational numbers as non-terminating and non-repeating decimals | Understand slope relationships of perpendicular and parallel lines |
Vocabulary
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Hypotenuse | The side of a right triangle that is opposite the right angle. The hypotenuse if the longest side of a right triangle. |
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Irrational Number | A number that cannot be written as a fraction with a numerator and a denominator that are integers. The decimal representation of an irrational number never ends and never shows a repeating pattern. |
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Perpendicular | Meeting at right angles. For example, the legs of a right triangle that form the right angle are perpendicular. |
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Pythagorean Theorem | A statement about the relationship between the lengths of the sides of a right triangle. The theorem states that if a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then a2+b2=c2. |
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Rational Number | A number that can be written as a fraction with a numerator and a denominator that are integers. The decimal representation of a rational number either ends or repeats. |
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Real Numbers | The set of all rational numbers and all irrational numbers. The number line represents the set of real numbers. |
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Repeating Decimal | A decimal with a pattern of digits that repeats forever. Repeating decimals are rational numbers. |
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Square Root | If A=s2, then s is the square root of A. For example, 3 and -3 are the square roots of 9. The positive square root of a number is the side length of a square that has that number as its area. |
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Terminating Decimal | A decimal that ends, or terminates. Terminating decimals are rational numbers. |